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5714446416 = 2437235983151
BaseRepresentation
bin1010101001001101…
…11000100001010000
3112202020201221210120
411110212320201100
543200344241131
62343012230240
7261415664430
oct52446704120
915666657716
105714446416
112472724198
12113590b380
13700b88653
143c2d1a2c0
15236a2e496
hex1549b8850

5714446416 has 320 divisors, whose sum is σ = 18238832640. Its totient is φ = 1506700800.

The previous prime is 5714446373. The next prime is 5714446421. The reversal of 5714446416 is 6146444175.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37843941 + ... + 37844091.

It is an arithmetic number, because the mean of its divisors is an integer number (56996352).

Almost surely, 25714446416 is an apocalyptic number.

5714446416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5714446416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9119416320).

5714446416 is an abundant number, since it is smaller than the sum of its proper divisors (12524386224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5714446416 is a wasteful number, since it uses less digits than its factorization.

5714446416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 5714446416 is about 75593.9575363005. The cubic root of 5714446416 is about 1787.8238294163.

The spelling of 5714446416 in words is "five billion, seven hundred fourteen million, four hundred forty-six thousand, four hundred sixteen".